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2 years ago

Check if 5/11 and 7/6 are rational numbers.

Mathematics

1 answer:

LekaFEV [45]2 years ago

8 0

Answer:

they are rational numbers

Step-by-step explanation:

Any fraction with integers in numerator and denominator is a rational number.

5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.

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Rewrite 0.011 as a fraction in lowest terms

lions [1.4K]

Answer:

11/1000 is the answer let me know if you need more help

4 0

3 years ago

P³ = 1/8 please help me if anybody can .

ivanzaharov [21]

Answer:

$p= \dfrac{1}{2}$

Step-by-step explanation:

Given equation:

$p^3=\dfrac{1}{8}$

Cube root both sides:

$\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}$

$\implies p= \sqrt[3]{\dfrac{1}{8}}$

$\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:$

$\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad 1^a=1:$

$\implies p= \dfrac{1}{8^{\frac{1}{3}}}$

Rewrite 8 as 2³:

$\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}$

Simplify:

$\implies p= \dfrac{1}{2^{\frac{3}{3}}}$

$\implies p= \dfrac{1}{2^{1}}$

$\implies p= \dfrac{1}{2}$

3 0

1 year ago

Read 2 more answers

If a(x) = 3x + 1 and 5(x)=1/x-4, what is the domain of (ba)(x)?

kumpel [21]

For this case we have the following fusions:

$a (x) = 3x + 1\\b (x) = \frac {1} {x} -4$

We must find $(a * b) (x):$

By definition:

$(a * b) (x) = a (x) * b (x)\\(a * b) (x) = (3x + 1) * (\frac {1} {x} -4)\\(a * b) (x) = \frac {3x} {x} -12x + \frac {1} {x} -4\\(a * b) (x) = 3-12x + \frac {1} {x} -4\\(a * b) (x) = - 12x + \frac {1} {x} -1$

The domain of the function will be given by all the values for which the function is defined, that is, all real numbers except zero.

Answer:

(-∞, 0) U (0,∞)

5 0

4 years ago

In which quadrant is the solution to this system of equations? 2x + 5y = 1<br> 3x - 4y = 13

Reptile [31]

Answer: Quadrant IV

Step-by-step explanation: Pic attached.

I found the x and y using substitution (isolating one variable and plugging it into the other). There was probably an easier way but I couldn't think of it at that moment.

From there, you have the point ( 133/36 , -23/18), or a (+, -).

Find Which quadrant has positive x and negative y.

In this case, this would be Quadrant IV or 4.

Hope this helps! Sorry if too complicated lol.

4 0

3 years ago

Becky added 273+416 and got 688.Then she checked her answer by adding 688+416.What error did Becky make?Was the sum she found fo

Komok [63]

You were post to -416 and get 273

5 0

4 years ago

Read 2 more answers